All categories

2 years ago

select the correct answer. Consider the function f. Which statement is true about function f? NO LINKS!!

Mathematics

1 answer:

andre [41]2 years ago

8 0

Answer:

C) As x approaches positive infinity, f(x) approaches positive infinity

Step-by-step explanation:

The domain is NOT all real numbers as x is either smaller than or bigger than 0, and smaller than or bigger than 2. So x ≠ 0 and x ≠ 2.
This implies that there are asymptotes at x=0 and x=2.
Therefore, the function is NOT continuous.

The function is NOT increasing over its entire domain as
f(x) = -x² -4x + 1 is decreasing for its given domain of 0<x<2

You might be interested in

Probability of getting same number when rolling two dice

Soloha48 [4]

<span>6 of them are double 1,1 2,2 3,3 4,4 5,5 6,6
P(doubles)=6/36=1/6</span>

5 0

3 years ago

Find e^cos(2+3i) as a complex number expressed in Cartesian form.

ozzi

Answer:

The complex number $e^{\cos(2+31)} = \exp(\cos(2+3i))$ has Cartesian form

$\exp\left(\cosh 3\cos 2\right)\cos(\sinh 3\sin 2)-i\exp\left(\cosh 3\cos 2\right)\sin(\sinh 3\sin 2)$ .

Step-by-step explanation:

First, we need to recall the definition of $\cos z$ when $z$ is a complex number:

$\cos z = \cos(x+iy) = \frac{e^{iz}+e^{-iz}}{2}$ .

Then,

$\cos(2+3i) = \frac{e^{i(2+31)} + e^{-i(2+31)}}{2} = \frac{e^{2i-3}+e^{-2i+3}}{2}$ . (I)

Now, recall the definition of the complex exponential:

$e^{z}=e^{x+iy} = e^x(\cos y +i\sin y)$ .

So,

$e^{2i-3} = e^{-3}(\cos 2+i\sin 2)$

$e^{-2i+3} = e^{3}(\cos 2-i\sin 2)$ (we use that $\sin(-y)=-\sin y)$ .

Thus,

$e^{2i-3}+e^{-2i+3} = e^{-3}\cos 2+ie^{-3}\sin 2 + e^{3}\cos 2-ie^{3}\sin 2)$

Now we group conveniently in the above expression:

$e^{2i-3}+e^{-2i+3} = (e^{-3}+e^{3})\cos 2 + i(e^{-3}-e^{3})\sin 2$ .

Now, substituting this equality in (I) we get

$\cos(2+3i) = \frac{e^{-3}+e^{3}}{2}\cos 2 -i\frac{e^{3}-e^{-3}}{2}\sin 2 = \cosh 3\cos 2-i\sinh 3\sin 2$ .

Thus,

$\exp\left(\cos(2+3i)\right) = \exp\left(\cosh 3\cos 2-i\sinh 3\sin 2\right)$

$\exp\left(\cos(2+3i)\right) = \exp\left(\cosh 3\cos 2\right)\left[ \cos(\sinh 3\sin 2)-i\sin(\sinh 3\sin 2)\right]$ .

5 0

3 years ago

The volume of this triangular prism is 32 cubic inches. What is the value of d?

krek1111 [17]

Answer:

Divide the volume by the length of the prism to get the area of the face:

468/13 = 36 square yards.

The area of the face ( triangle) is 1/2 x base x height

Replace with what you have:

36 = 1/2 x 9 x g

Multiply both sides by 2 to remove the 1/2:

72 = 9 x g

Divide both sides by 9 to find g:

g = 72 /9

g = 8 yards.

3 0

3 years ago

(3,-4, slope = undefined

Anni [7]

lines with undefined slope are vertical

equation are in form of x constant

through the points ( 3 , -4)

the line is x=3

4 0

4 years ago

Peter has 100$. The price of a watch is 60$. If Peter gets 25% discount,can he buy 2 watches?

yKpoI14uk [10]

yes.

25 percent discount means that the price of one watch is 45 dollars.

45 plus 45 is less than 100.

6 0

3 years ago

Read 2 more answers

select the correct answer. Consider the function f. Which statement is true about function f? NO LINKS!! ​

select the correct answer. Consider the function f. Which statement is true about function f? NO LINKS!!